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Simplifying -2x + -2y + 20 = 4x + -1y + 10 Reorder the terms: 20 + -2x + -2y = 4x + -1y + 10 Reorder the terms: 20 + -2x + -2y = 10 + 4x + -1y Solving 20 + -2x + -2y = 10 + 4x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -2x + -4x + -2y = 10 + 4x + -4x + -1y Combine like terms: -2x + -4x = -6x 20 + -6x + -2y = 10 + 4x + -4x + -1y Combine like terms: 4x + -4x = 0 20 + -6x + -2y = 10 + 0 + -1y 20 + -6x + -2y = 10 + -1y Add '-20' to each side of the equation. 20 + -6x + -20 + -2y = 10 + -20 + -1y Reorder the terms: 20 + -20 + -6x + -2y = 10 + -20 + -1y Combine like terms: 20 + -20 = 0 0 + -6x + -2y = 10 + -20 + -1y -6x + -2y = 10 + -20 + -1y Combine like terms: 10 + -20 = -10 -6x + -2y = -10 + -1y Add '2y' to each side of the equation. -6x + -2y + 2y = -10 + -1y + 2y Combine like terms: -2y + 2y = 0 -6x + 0 = -10 + -1y + 2y -6x = -10 + -1y + 2y Combine like terms: -1y + 2y = 1y -6x = -10 + 1y Divide each side by '-6'. x = 1.666666667 + -0.1666666667y Simplifying x = 1.666666667 + -0.1666666667y
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